Given the following graph of a system of inequalities, the point (3, 2) _____________.

Mathematics

1 answer:

uysha [10]3 years ago

5 0

That point does not satisfy either inequality.

You can tell it does not satisfy the first portion, due to it being under the shaded line. Secondly, the dotted line goes through it, but that fact that it is dotted makes it not included.

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Step-by-step explanation:

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8.EE.5

olga2289 [7]

Answer:

1.) $slope=2$

2.) $slope=-3$

3.) $slope=\frac{1}{4}$

4.) $slope=-\frac{4}{5}$

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

$(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope$

However, with certain graphs, the slope can be found in a simpler manner.

You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.

Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each $\frac{y}{x}$

When you move up, the number will be positive $(\frac{+y}{x})$ . If you move down, the number will be negative $(\frac{-y}{x})$ .
If you move to the right, the number will be positive $(\frac{y}{+x})$ . If you move to the left, the number will be negative $(\frac{y}{-x})$ .